Ander Murua

1.8k total citations
52 papers, 943 citations indexed

About

Ander Murua is a scholar working on Numerical Analysis, Computational Mechanics and Computational Theory and Mathematics. According to data from OpenAlex, Ander Murua has authored 52 papers receiving a total of 943 indexed citations (citations by other indexed papers that have themselves been cited), including 51 papers in Numerical Analysis, 23 papers in Computational Mechanics and 19 papers in Computational Theory and Mathematics. Recurrent topics in Ander Murua's work include Numerical methods for differential equations (51 papers), Advanced Numerical Methods in Computational Mathematics (20 papers) and Electromagnetic Simulation and Numerical Methods (15 papers). Ander Murua is often cited by papers focused on Numerical methods for differential equations (51 papers), Advanced Numerical Methods in Computational Mathematics (20 papers) and Electromagnetic Simulation and Numerical Methods (15 papers). Ander Murua collaborates with scholars based in Spain, France and New Zealand. Ander Murua's co-authors include Fernando Casas, Sergio Blanes, J. M. Sanz‐Serna, Philippe Chartier, P. Chartier, Erwan Faou, J. Laskar, Ariadna Farrés, Adérito Araújo and R. P. K. Chan and has published in prestigious journals such as The Journal of Chemical Physics, Journal of Computational Physics and Mathematics of Computation.

In The Last Decade

Ander Murua

52 papers receiving 868 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Ander Murua Spain 19 639 306 269 229 182 52 943
Moawwad El-Mikkawy Egypt 18 568 0.9× 149 0.5× 593 2.2× 298 1.3× 339 1.9× 52 1.1k
Martin H. Gutknecht Switzerland 20 669 1.0× 432 1.4× 1.0k 3.9× 247 1.1× 182 1.0× 68 1.6k
L. Yu. Kolotilina Russia 16 241 0.4× 310 1.0× 783 2.9× 91 0.4× 259 1.4× 81 955
M. P. Calvo Spain 18 1.3k 2.1× 739 2.4× 419 1.6× 484 2.1× 417 2.3× 39 1.8k
E. E. Tyrtyshnikov Russia 18 152 0.2× 355 1.2× 706 2.6× 153 0.7× 106 0.6× 43 1.3k
Tomohiro Sogabe Japan 15 262 0.4× 80 0.3× 536 2.0× 137 0.6× 161 0.9× 73 721
I. Koltracht United States 17 196 0.3× 101 0.3× 431 1.6× 74 0.3× 123 0.7× 50 849
Sheehan Olver United Kingdom 19 309 0.5× 95 0.3× 181 0.7× 194 0.8× 72 0.4× 45 999
Olavi Nevanlinna Finland 19 997 1.6× 585 1.9× 805 3.0× 101 0.4× 265 1.5× 77 1.5k
Erwan Faou France 20 506 0.8× 284 0.9× 175 0.7× 347 1.5× 259 1.4× 73 1.1k

Countries citing papers authored by Ander Murua

Since Specialization
Citations

This map shows the geographic impact of Ander Murua's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Ander Murua with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Ander Murua more than expected).

Fields of papers citing papers by Ander Murua

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Ander Murua. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Ander Murua. The network helps show where Ander Murua may publish in the future.

Co-authorship network of co-authors of Ander Murua

This figure shows the co-authorship network connecting the top 25 collaborators of Ander Murua. A scholar is included among the top collaborators of Ander Murua based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Ander Murua. Ander Murua is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Blanes, Sergio, Fernando Casas, & Ander Murua. (2024). Splitting methods for differential equations. Acta Numerica. 33. 1–161. 10 indexed citations
2.
Casas, Fernando, Philippe Chartier, & Ander Murua. (2019). Continuous changes of variables and the Magnus expansion. LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas). 1 indexed citations
3.
Blanes, Sergio, Fernando Casas, & Ander Murua. (2017). Symplectic time-average propagators for the Schrödinger equation with a time-dependent Hamiltonian. The Journal of Chemical Physics. 146(11). 114109–114109. 6 indexed citations
4.
Murua, Ander & J. M. Sanz‐Serna. (2016). Vibrational resonance: a study with high-order word-series averaging. Applied Mathematics and Nonlinear Sciences. 1(1). 239–246. 11 indexed citations
5.
Murua, Ander & J. M. Sanz‐Serna. (2015). Computing normal forms and formal invariants of dynamical systems by means of word series. Nonlinear Analysis. 138. 326–345. 6 indexed citations
6.
Blanes, Sergio, Fernando Casas, & Ander Murua. (2015). An efficient algorithm based on splitting for the time integration of the Schrödinger equation. Journal of Computational Physics. 303. 396–412. 11 indexed citations
7.
Blanes, Sergio, Fernando Casas, P. Chartier, & Ander Murua. (2012). Optimized high-order splitting methods for some classes of parabolic equations. Mathematics of Computation. 82(283). 1559–1576. 38 indexed citations
8.
Casas, Fernando & Ander Murua. (2009). An efficient algorithm for computing the Baker–Campbell–Hausdorff series and some of its applications. Journal of Mathematical Physics. 50(3). 42 indexed citations
9.
Chartier, Philippe & Ander Murua. (2009). An algebraic theory of order. ESAIM Mathematical Modelling and Numerical Analysis. 43(4). 607–630. 6 indexed citations
10.
Murua, Ander, et al.. (2009). A new class of symplectic integration schemes based on generating functions. Numerische Mathematik. 113(4). 631–642. 5 indexed citations
11.
Blanes, Sergio, Fernando Casas, & Ander Murua. (2008). Splitting and composition methods in the numerical integration of differential equations. ArXiv.org. 89–146. 43 indexed citations
12.
Chartier, Philippe & Ander Murua. (2007). Preserving first integrals and volume forms of additively split systems. IMA Journal of Numerical Analysis. 27(2). 381–405. 23 indexed citations
13.
Blanes, Sergio, Fernando Casas, & Ander Murua. (2007). Splitting methods for non-autonomous linear systems. International Journal of Computer Mathematics. 84(6). 713–727. 11 indexed citations
14.
Murua, Ander. (2006). The Hopf Algebra of Rooted Trees, Free Lie Algebras, and Lie Series. Foundations of Computational Mathematics. 6(4). 387–426. 48 indexed citations
15.
Blanes, Sergio, Fernando Casas, & Ander Murua. (2006). Symplectic splitting operator methods for the time-dependent Schrödinger equation. The Journal of Chemical Physics. 124(23). 234105–234105. 36 indexed citations
16.
Murua, Ander, et al.. (2003). New Runge–Kutta Based Schemes for ODEs with Cheap Global Error Estimation. BIT Numerical Mathematics. 43(3). 595–610. 7 indexed citations
17.
Chan, R. P. K. & Ander Murua. (2000). Extrapolation of symplectic methods for Hamiltonian problems. Applied Numerical Mathematics. 34(2-3). 189–205. 10 indexed citations
18.
Arnold, Martin & Ander Murua. (1998). Non-stiff integrators for differential–algebraic systems of index 2. Numerical Algorithms. 19(1-4). 25–41. 5 indexed citations
19.
Murua, Ander. (1998). Runge-Kutta-Nyström methods for general second order ODEs with application to multi-body systems. Applied Numerical Mathematics. 28(2-4). 387–399. 3 indexed citations
20.
Murua, Ander. (1997). On Order Conditions for Partitioned Symplectic Methods. SIAM Journal on Numerical Analysis. 34(6). 2204–2211. 15 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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